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Simplifying 4a + -8(a + -4(a + -8)) = 0 Reorder the terms: 4a + -8(a + -4(-8 + a)) = 0 4a + -8(a + (-8 * -4 + a * -4)) = 0 4a + -8(a + (32 + -4a)) = 0 Reorder the terms: 4a + -8(32 + a + -4a) = 0 Combine like terms: a + -4a = -3a 4a + -8(32 + -3a) = 0 4a + (32 * -8 + -3a * -8) = 0 4a + (-256 + 24a) = 0 Reorder the terms: -256 + 4a + 24a = 0 Combine like terms: 4a + 24a = 28a -256 + 28a = 0 Solving -256 + 28a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '256' to each side of the equation. -256 + 256 + 28a = 0 + 256 Combine like terms: -256 + 256 = 0 0 + 28a = 0 + 256 28a = 0 + 256 Combine like terms: 0 + 256 = 256 28a = 256 Divide each side by '28'. a = 9.142857143 Simplifying a = 9.142857143
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